Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	69×	body	1024	valid
4.0ms	141×	body	128	valid
2.0ms	7×	body	2048	valid
2.0ms	21×	body	512	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 18 to 18 computations (0% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

3 → 3

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	13
1	71	13

prune2.0ms (0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	3	3
Picked	0	0
Done	0	0
Total	6	6

Error

28.1b

Counts

6 → 3

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`sqrt-prod_binary64_1458`
14×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`add-cube-cbrt_binary64_1477`
4×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
3×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
2×	`add-cbrt-cube_binary64_1478` `sqrt-div_binary64_1459` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522`

Counts

2 → 40

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series48.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

30.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 170 to 142 computations (16.5% saved)

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4932	589
1	4932	589

prune138.0ms (0.4%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	24	25	49
Fresh	0	2	2
Picked	0	0	0
Done	0	1	1
Total	24	28	52

Error

0.1b

Counts

52 → 28

Compiler

Compiled 674 to 504 computations (25.2% saved)

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_1442`
24×	`sqrt-prod_binary64_1458`
21×	`distribute-lft-out_binary64_1393`
18×	`times-frac_binary64_1448`
16×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477`
7×	`add-exp-log_binary64_1480`
6×	`associate-/r*_binary64_1386`
5×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `pow1_binary64_1503`
3×	`associate-/l*_binary64_1387` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-/r/_binary64_1388` `sqrt-div_binary64_1459` `div-exp_binary64_1493`
1×	`sqrt-pow1_binary64_1460` `inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `1-exp_binary64_1486` `+-commutative_binary64_1372` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `pow1/2_binary64_1522`

Counts

3 → 75

Calls

6 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
7.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series51.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

17.0ms	(sqrt.f64 (+.f64 x 1))
17.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
16.0ms	(+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 182 to 168 computations (7.7% saved)

simplify87.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4911	1227
1	4911	1227

localize3.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

2.6b	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.6b	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1464`
9×	`*-un-lft-identity_binary64_1442`
8×	`sqrt-prod_binary64_1458`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`add-cube-cbrt_binary64_1477`
4×	`add-log-exp_binary64_1481`
3×	`pow1_binary64_1503`
2×	`add-cbrt-cube_binary64_1478` `sqrt-div_binary64_1459` `add-exp-log_binary64_1480` `difference-of-squares_binary64_1411`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `sub-neg_binary64_1435` `flip3--_binary64_1446` `distribute-lft-out_binary64_1393` `flip--_binary64_1417` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522` `distribute-lft-out--_binary64_1394`

Counts

2 → 36

Calls

4 calls:

4.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))

series37.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

20.0ms	(-.f64 (fabs.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x))
16.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 144 to 125 computations (13.2% saved)

simplify108.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4798	502
1	4798	502

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

28.4b	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
3.3b	(log.f64 (sqrt.f64 (+.f64 x 1)))
2.3b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.3b	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
3.3b	(log.f64 (sqrt.f64 (+.f64 x 1)))
28.4b	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_1464`
20×	`sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
18×	`log-prod_binary64_1528`
12×	`add-cube-cbrt_binary64_1477`
11×	`exp-sum_binary64_1488`
9×	`pow1_binary64_1503`
6×	`cancel-sign-sub-inv_binary64_1408` `log-pow_binary64_1531` `sqrt-div_binary64_1459` `add-log-exp_binary64_1481` `exp-prod_binary64_1494` `difference-of-squares_binary64_1411`
5×	`add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `log-div_binary64_1529`
3×	`sqrt-pow1_binary64_1460` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522`
2×	`exp-diff_binary64_1490`
1×	`rem-sqrt-square_binary64_1455` `sub-neg_binary64_1435` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `distribute-lft-out--_binary64_1394`

Counts

4 → 83

Calls

8 calls:

15.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
6.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
4.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))
4.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))

series97.0ms (0.3%)

Counts

4 → 21

Calls

4 calls:

27.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
25.0ms	(exp.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
25.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))
20.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 382 to 306 computations (19.9% saved)

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4776	1188
1	4776	1188

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.1b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.1b	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))
0.1b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
10.4b	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
13×	`cbrt-prod_binary64_1473`
12×	`sqrt-prod_binary64_1458` `add-cube-cbrt_binary64_1477`
10×	`associate-r_binary64_1382`
6×	`add-cbrt-cube_binary64_1478` `cancel-sign-sub-inv_binary64_1408` `cbrt-div_binary64_1474` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`associate-l_binary64_1383` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`
2×	`associate-*r/_binary64_1384` `sqrt-div_binary64_1459` `pow1/3_binary64_1524`
1×	`cbrt-unprod_binary64_1475` `sub-neg_binary64_1435` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `flip--_binary64_1417` `diff-log_binary64_1534` `prod-exp_binary64_1491`

Counts

4 → 74

Calls

8 calls:

10.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
10.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (cbrt.f64 (+.f64 x 1)))

series224.0ms (0.6%)

Counts

4 → 30

Calls

4 calls:

81.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
56.0ms	(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 x))
44.0ms	(cbrt.f64 (+.f64 x 1))
43.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 946 to 827 computations (12.6% saved)

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4903	1860
1	4903	1860

prune3.0s (8.4%)

Pruning

159 alts after pruning (153 fresh and 6 done)

	Pruned	Kept	Total
New	206	134	340
Fresh	3	19	22
Picked	0	0	0
Done	0	6	6
Total	209	159	368

Error

0.0b

Counts

368 → 159

Compiler

Compiled 6350 to 4921 computations (22.5% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1442`
14×	`add-exp-log_binary64_1480`
8×	`add-cbrt-cube_binary64_1478` `sqrt-prod_binary64_1458`
7×	`add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
6×	`add-cube-cbrt_binary64_1477`
5×	`add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393`
4×	`div-exp_binary64_1493`
3×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491`
2×	`associate-*r/_binary64_1384` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `1-exp_binary64_1486` `rec-exp_binary64_1492` `sqrt-div_binary64_1459` `pow-flip_binary64_1516`
1×	`sqrt-pow1_binary64_1460` `inv-pow_binary64_1527` `associate-/r*_binary64_1386` `rem-sqrt-square_binary64_1455` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `frac-2neg_binary64_1453` `pow1/2_binary64_1522`

Counts

3 → 60

Calls

6 calls:

15.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

series49.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

18.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
17.0ms	(sqrt.f64 (+.f64 1 x))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 224 to 210 computations (6.3% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5368	823

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize8.0ms (0%)

Local error

Found 8 expressions with local error:

2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
1.8b	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
0.0b	(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
1.8b	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
2.6b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1464`
37×	`sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
20×	`exp-prod_binary64_1494`
18×	`cancel-sign-sub-inv_binary64_1408`
14×	`add-cube-cbrt_binary64_1477` `exp-sum_binary64_1488`
12×	`difference-of-squares_binary64_1411`
11×	`log-pow_binary64_1531`
10×	`log-prod_binary64_1528`
9×	`add-log-exp_binary64_1481` `distribute-lft-out--_binary64_1394`
6×	`pow1_binary64_1503`
4×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393`
3×	`sub-neg_binary64_1435`
2×	`rem-exp-log_binary64_1482` `sqrt-div_binary64_1459` `diff-log_binary64_1534` `exp-diff_binary64_1490`
1×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522` `log-div_binary64_1529`

Counts

4 → 97

Calls

8 calls:

10.0ms	(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
10.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 x 1))
0.0ms	(sqrt.f64 (+.f64 x 1))

series114.0ms (0.3%)

Counts

4 → 15

Calls

4 calls:

48.0ms	(log.f64 (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))
28.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
20.0ms	(exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 334 to 288 computations (13.8% saved)

simplify74.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4913	1394
1	4913	1394

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

2.3b	(exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))))
0.7b	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))
0.0b	(log.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))
0.0b	(sqrt.f64 (+.f64 x 1))
0.7b	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))
2.3b	(exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))))
3.3b	(log.f64 (sqrt.f64 (+.f64 x 1)))
29.1b	(-.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))

rewrite26.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`log-prod_binary64_1528`
16×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
13×	`exp-prod_binary64_1494`
12×	`add-cube-cbrt_binary64_1477` `exp-sum_binary64_1488`
11×	`pow1_binary64_1503`
10×	`log-pow_binary64_1531`
8×	`sqrt-prod_binary64_1458`
7×	`add-log-exp_binary64_1481`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478`
3×	`sqrt-pow1_binary64_1460` `pow1/2_binary64_1522`
2×	`rem-exp-log_binary64_1482` `sqrt-div_binary64_1459` `log-div_binary64_1529` `difference-of-squares_binary64_1411`
1×	`sub-neg_binary64_1435` `rem-log-exp_binary64_1483` `flip3--_binary64_1446` `distribute-lft-out_binary64_1393` `flip--_binary64_1417` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out--_binary64_1394`

Counts

4 → 75

Calls

8 calls:

7.0ms	(-.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))
7.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))
4.0ms	(exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))))
3.0ms	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series229.0ms (0.6%)

Counts

4 → 21

Calls

4 calls:

97.0ms	(exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1))))))
53.0ms	(-.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))
51.0ms	(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x 1)))))
27.0ms	(log.f64 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 821 to 583 computations (29% saved)

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5458	1163

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (+.f64 x 1)))
0.1b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.3b	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
3.3b	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
3.3b	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
28.4b	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-prod_binary64_1528`
19×	`*-un-lft-identity_binary64_1442`
17×	`add-sqr-sqrt_binary64_1464`
14×	`cbrt-prod_binary64_1473`
13×	`add-cube-cbrt_binary64_1477`
12×	`sqrt-prod_binary64_1458`
8×	`add-log-exp_binary64_1481`
6×	`cancel-sign-sub-inv_binary64_1408` `cbrt-div_binary64_1474` `sqrt-div_binary64_1459` `add-exp-log_binary64_1480` `pow1_binary64_1503` `log-div_binary64_1529`
4×	`add-cbrt-cube_binary64_1478` `log-pow_binary64_1531`
3×	`exp-prod_binary64_1494` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-+r-_binary64_1376` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `distribute-lft-out_binary64_1393` `exp-diff_binary64_1490` `pow1/3_binary64_1524` `difference-of-squares_binary64_1411`
1×	`sum-log_binary64_1533` `sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `distribute-lft-out--_binary64_1394` `exp-sum_binary64_1488`

Counts

4 → 79

Calls

8 calls:

11.0ms	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))
7.0ms	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
5.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
5.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series221.0ms (0.6%)

Counts

4 → 30

Calls

4 calls:

73.0ms	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
60.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
57.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
31.0ms	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 x))

Compiler

Compiled 793 to 689 computations (13.1% saved)

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4875	1631
1	4875	1631

prune6.0s (16.7%)

Pruning

286 alts after pruning (275 fresh and 11 done)

	Pruned	Kept	Total
New	247	142	389
Fresh	15	133	148
Picked	0	0	0
Done	0	11	11
Total	262	286	548

Error

0.0b

Counts

548 → 286

Compiler

Compiled 9411 to 7562 computations (19.6% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_1480`
15×	`*-un-lft-identity_binary64_1442`
12×	`add-cbrt-cube_binary64_1478`
10×	`pow1_binary64_1503`
9×	`prod-exp_binary64_1491`
8×	`sqrt-prod_binary64_1458`
7×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `div-exp_binary64_1493`
5×	`add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393`
4×	`associate-*r/_binary64_1384`
3×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `associate-/l*_binary64_1387` `1-exp_binary64_1486` `pow-prod-down_binary64_1513` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-/r/_binary64_1388` `sqrt-div_binary64_1459`
1×	`sqrt-pow1_binary64_1460` `inv-pow_binary64_1527` `associate-/r*_binary64_1386` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `pow1/2_binary64_1522`

Counts

3 → 65

Calls

6 calls:

14.0ms	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
7.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

series56.0ms (0.2%)

Counts

3 → 12

Calls

3 calls:

21.0ms	(sqrt.f64 (+.f64 1 x))
18.0ms	(/.f64 1 (.f64 (sqrt.f64 1) (.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
16.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 266 to 252 computations (5.3% saved)

simplify77.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4762	886
1	4762	886

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.2b	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.2b	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1442`
14×	`add-exp-log_binary64_1480`
8×	`add-cbrt-cube_binary64_1478` `sqrt-prod_binary64_1458`
7×	`add-sqr-sqrt_binary64_1464` `pow1_binary64_1503`
6×	`add-cube-cbrt_binary64_1477`
5×	`add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393`
4×	`div-exp_binary64_1493`
3×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491`
2×	`associate-*r/_binary64_1384` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `1-exp_binary64_1486` `rec-exp_binary64_1492` `sqrt-div_binary64_1459` `pow-flip_binary64_1516`
1×	`sqrt-pow1_binary64_1460` `inv-pow_binary64_1527` `associate-/r*_binary64_1386` `rem-sqrt-square_binary64_1455` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `frac-2neg_binary64_1453` `pow1/2_binary64_1522`

Counts

3 → 60

Calls

6 calls:

13.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
9.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
3.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(sqrt.f64 (+.f64 1 x))
0.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))

series56.0ms (0.2%)

Counts

3 → 12

Calls

3 calls:

21.0ms	(/.f64 1 (*.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
20.0ms	(sqrt.f64 (+.f64 1 x))
15.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 264 to 250 computations (5.3% saved)

simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5368	823

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 1/6)
0.0b	(-.f64 (exp.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))) (sqrt.f64 x))
0.0b	(.f64 x (+.f64 1/2 (.f64 x -1/4)))
0.0b	(+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))
0.0b	(-.f64 (exp.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))) (sqrt.f64 x))
0.1b	(*.f64 (pow.f64 x 3) 1/6)
3.0b	(exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))
22.1b	(-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4)))

rewrite48.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
12×	`associate-l_binary64_1383` `add-cube-cbrt_binary64_1477`
9×	`add-exp-log_binary64_1480`
8×	`add-log-exp_binary64_1481`
7×	`cancel-sign-sub-inv_binary64_1408`
6×	`add-cbrt-cube_binary64_1478` `exp-diff_binary64_1490` `log-div_binary64_1529`
5×	`pow1_binary64_1503`
4×	`associate-*r/_binary64_1384` `flip3--_binary64_1446` `cube-prod_binary64_1470` `exp-prod_binary64_1494` `flip--_binary64_1417` `sqrt-prod_binary64_1458` `frac-add_binary64_1450` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
3×	`associate-r_binary64_1382` `log-prod_binary64_1528` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `exp-sum_binary64_1488`
2×	`sub-neg_binary64_1435` `diff-log_binary64_1534` `sqr-pow_binary64_1414` `difference-of-squares_binary64_1411`
1×	`cube-mult_binary64_1472` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `rem-exp-log_binary64_1482` `log-pow_binary64_1531` `*-commutative_binary64_1373` `unpow3_binary64_1508` `distribute-lft-out--_binary64_1394` `pow-to-exp_binary64_1511`

Counts

4 → 84

Calls

8 calls:

14.0ms	(exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))
11.0ms	(-.f64 (exp.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))) (sqrt.f64 x))
7.0ms	(*.f64 (pow.f64 x 3) 1/6)
6.0ms	(-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4)))
0.0ms	(+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))

series235.0ms (0.7%)

Counts

4 → 18

Calls

4 calls:

83.0ms	(-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4)))
59.0ms	(-.f64 (exp.f64 (exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))) (sqrt.f64 x))
55.0ms	(exp.f64 (log.f64 (+.f64 (-.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 1/8 (pow.f64 x 4))) (.f64 x (+.f64 1/2 (.f64 x -1/4))))))
37.0ms	(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 710 to 607 computations (14.5% saved)

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5290	2616

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (sqrt.f64 (+.f64 x 1)))
0.1b	(+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 x 1))
2.3b	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))))
3.3b	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
3.3b	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
28.4b	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 x))

rewrite46.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-prod_binary64_1528`
19×	`*-un-lft-identity_binary64_1442`
17×	`add-sqr-sqrt_binary64_1464`
14×	`cbrt-prod_binary64_1473`
13×	`add-cube-cbrt_binary64_1477`
12×	`sqrt-prod_binary64_1458`
10×	`add-log-exp_binary64_1481`
6×	`cancel-sign-sub-inv_binary64_1408` `cbrt-div_binary64_1474` `sqrt-div_binary64_1459` `add-exp-log_binary64_1480` `pow1_binary64_1503` `log-div_binary64_1529`
4×	`associate-+r-_binary64_1376` `add-cbrt-cube_binary64_1478` `log-pow_binary64_1531`
3×	`sum-log_binary64_1533` `rem-exp-log_binary64_1482` `exp-prod_binary64_1494` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`rem-log-exp_binary64_1483` `distribute-lft-out_binary64_1393` `exp-diff_binary64_1490` `pow1/3_binary64_1524` `difference-of-squares_binary64_1411`
1×	`sub-neg_binary64_1435` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `distribute-lft-out--_binary64_1394` `exp-sum_binary64_1488`

Counts

4 → 80

Calls

8 calls:

14.0ms	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 x))
11.0ms	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))))
5.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
5.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
0.0ms	(sqrt.f64 (+.f64 x 1))

series218.0ms (0.6%)

Counts

4 → 30

Calls

4 calls:

66.0ms	(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))))
63.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
57.0ms	(log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))
32.0ms	(-.f64 (exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) 2) (+.f64 (log.f64 1) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))))))) (sqrt.f64 x))

Compiler

Compiled 853 to 749 computations (12.2% saved)

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4865	1668
1	4865	1668

prune10.8s (30.3%)

Pruning

403 alts after pruning (387 fresh and 16 done)

	Pruned	Kept	Total
New	228	133	361
Fresh	16	254	270
Picked	0	0	0
Done	0	16	16
Total	244	403	647

Error

0.0b

Counts

647 → 403

Compiler

Compiled 6092 to 4744 computations (22.1% saved)

simplify320.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	3374	19369
1	3374	19369

regimes1.7s (4.6%)

Compiler: Compiled 18594 to 15812 computations (15% saved)

bsearch0.0ms (0%)

regimes78.0ms (0.2%)

Compiler: Compiled 317 to 290 computations (8.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

regimes25.0ms (0.1%)

Compiler: Compiled 124 to 113 computations (8.9% saved)

bsearch0.0ms (0%)

regimes13.0ms (0%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Compiler

Compiled 20 to 24 computations (-20% saved)

bsearch3.0ms (0%)

Compiler: Compiled 39 to 33 computations (15.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	60
1	27	60

end0.0ms (0%)

sample10.3s (28.7%)

Algorithm

1×

intervals

Results

201.0ms	1967×	body	1024	valid
122.0ms	4324×	body	128	valid
72.0ms	964×	body	512	valid
27.0ms	216×	body	2048	valid
26.0ms	529×	body	256	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 9197 to 7825 computations (14.9% saved)

Pareto

-0.08589133362024785